Experimental Test of a Trace Formula for a Chaotic Three Dimensional Microwave Cavity

Details Experimental Test of a Trace Formula for a Chaotic Three Dimensional Microwave Cavity Experimental Test of a Trace Formula for a Chaotic Three Dimensional Microwave Cavity

2002-06-18

arxiv.org/abs/nlin/0206028v2

Phys. Rev. Lett. 89, 064101 (2002)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures (reduced quality)

Scientific paper

10.1103/PhysRevLett.89.064101

We have measured resonance spectra in a superconducting microwave cavity with the shape of a three-dimensional generalized Bunimovich stadium billiard and analyzed their spectral fluctuation properties. The experimental length spectrum exhibits contributions from periodic orbits of non-generic modes and from unstable periodic orbit of the underlying classical system. It is well reproduced by our theoretical calculations based on the trace formula derived by Balian and Duplantier for chaotic electromagnetic cavities.

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